Andrey Tsiganov

All Stories

1. 
   Об инвариантных относительно вращений интегрируемых системах

   Article • Известия Российской академии наук Серия математическая, January 2024, Steklov Mathematical Institute

   Andrey Tsiganov

2. 
   Second order Killing tensors related to symmetric spaces

   Article • Journal of Geometry and Physics, September 2023, Elsevier

   Andrey Tsiganov

3. 
   On a class of quadratic conservation laws for Newton equations in Euclidean space

   Article • Теоретическая и математическая физика, August 2023, Steklov Mathematical Institute

   Andrey Tsiganov

4. 
   Equivalent Integrable Metrics on the Sphere with Quartic Invariants

   Article • Symmetry Integrability and Geometry Methods and Applications, December 2022, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

   Andrey Tsiganov

5. 
   Reducible Abelian varieties and Lax matrices for Euler’s problem of two fixed centres

   Article • Nonlinearity, September 2022, Institute of Physics Publishing

   Andrey Tsiganov

6. 
   On integrable systems outside Nijenhuis and Haantjes geometry

   Article • Journal of Geometry and Physics, August 2022, Elsevier

   Andrey Tsiganov

7. 
   О тензорах Киллинга в трехмерном eвклидовом пространстве

   Article • Теоретическая и математическая физика, June 2022, Steklov Mathematical Institute

   Andrey Tsiganov

8. 
   Reduction of Divisors and the Clebsch System

   Article • Regular and Chaotic Dynamics, May 2022, Pleiades Publishing Ltd

   Andrey Tsiganov

9. 
   On two-dimensional Hamiltonian systems with sixth-order integrals of motion

   Article • Communications in Nonlinear Science and Numerical Simulation, March 2022, Elsevier

   Andrey Tsiganov

10. 
    On inhomogeneous nonholonomic Bilimovich system

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2021, Elsevier

    Andrey Tsiganov

11. 
    О шаре Чаплыгина в соленоидальном поле

    Article • Успехи математических наук, January 2021, Steklov Mathematical Institute

    Andrey Tsiganov

12. 
    On the Bilimovich System with inhomogeneous non-stationary nonholonomic relation

    Article • December 2020, Institute of Electrical & Electronics Engineers (IEEE)

    Andrey Tsiganov

13. 
    Reduction of divisors for classical superintegrable GL(3) magnetic chain

    Article • Journal of Mathematical Physics, November 2020, American Institute of Physics

    Andrey Tsiganov

14. 
    Discretization and superintegrability all rolled into one

    Article • Nonlinearity, August 2020, Institute of Physics Publishing

    Andrey Tsiganov

15. 
    On a Time-Dependent Nonholonomic Oscillator

    Article • Russian Journal of Mathematical Physics, July 2020, Pleiades Publishing Ltd

    Andrey Tsiganov

16. 
    О гипотезе Мищенко — Фоменко для обобщённого осциллятора и системы Кеплера

    Article • Чебышевский сборник, March 2020, FSBEIHE Tula State Lev Tolstoy Pedagogical University

    Andrey Tsiganov

17. 
    The Motion of a Nonholonomic Chaplygin Sphere in a Magnetic Field, the Grioli Problem, and the Barnett–London Effect

    Article • Doklady Physics, March 2020, Pleiades Publishing Ltd

    Andrey Tsiganov

18. 
    Superintegrable systems and Riemann-Roch theorem

    Article • Journal of Mathematical Physics, January 2020, American Institute of Physics

    Andrey Tsiganov

19. 
    On the Nonholonomic Routh Sphere in a Magnetic Field

    Article • Regular and Chaotic Dynamics, January 2020, Pleiades Publishing Ltd

    Andrey Tsiganov

20. 
    Influence of Bartnett-London and Einstein-de Haas effects on the motion of the nonholonomic sphere of Routh

    Article • Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki, December 2019, Izhevsk Institute of Computer Science

    Andrey Tsiganov

21. 
    On the Chaplygin Sphere in a Magnetic Field

    Article • Regular and Chaotic Dynamics, November 2019, Pleiades Publishing Ltd

    Andrey Tsiganov

22. 
    The Kepler Problem: Polynomial Algebra of Nonpolynomial First Integrals

    Article • Regular and Chaotic Dynamics, July 2019, Pleiades Publishing Ltd

    Andrey Tsiganov

23. 
    Superintegrable Systems with Algebraic and Rational Integrals of Motion

    Article • Theoretical and Mathematical Physics, May 2019, Pleiades Publishing Ltd

    Andrey Tsiganov

24. 
    Elliptic curve arithmetic and superintegrable systems

    Article • Physica Scripta, April 2019, Institute of Physics Publishing

    Andrey Tsiganov

25. 
    О суперинтегрируемых системax c алгебраическими и рациональными интегралами движения

    Article • Теоретическая и математическая физика, April 2019, Steklov Mathematical Institute

    Andrey Tsiganov

26. 
    Transformation of the Stäckel matrices preserving superintegrability

    Article • Journal of Mathematical Physics, April 2019, American Institute of Physics

    Andrey Tsiganov

27. 
    Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane

    Article • Regular and Chaotic Dynamics, March 2019, Pleiades Publishing Ltd

    Andrey Tsiganov

28. 
    Discretization of Hamiltonian Systems and Intersection Theory

    Article • Theoretical and Mathematical Physics, December 2018, Pleiades Publishing Ltd

    Andrey Tsiganov

29. 
    On Discretization of the Euler Top

    Article • Regular and Chaotic Dynamics, November 2018, Pleiades Publishing Ltd

    Andrey Tsiganov

30. 
    On superintegrable systems separable in Cartesian coordinates

    Article • Physics Letters A, August 2018, Elsevier

    Andrey Tsiganov

31. 
    On exact discretization of cubic-quintic Duffing oscillator

    Article • Journal of Mathematical Physics, July 2018, American Institute of Physics

    Andrey Tsiganov

32. 
    Bäcklund transformations and divisor doubling

    Article • Journal of Geometry and Physics, March 2018, Elsevier

    Andrey Tsiganov

33. 
    Bäcklund Transformations and New Integrable Systems on the Plane

    Article • January 2018, Springer Science + Business Media

    Andrey Tsiganov

34. 
    Duffing Oscillator and Elliptic Curve Cryptography

    Article • Nelineinaya Dinamika, January 2018, Izhevsk Institute of Computer Science

    Andrey Tsiganov

35. 
    Bäcklund transformations for the Jacobi system on an ellipsoid

    Article • Theoretical and Mathematical Physics, September 2017, Pleiades Publishing Ltd

    Andrey Tsiganov

36. 
    Integrable discretization and deformation of the nonholonomic Chaplygin ball

    Article • Regular and Chaotic Dynamics, July 2017, Pleiades Publishing Ltd

    Andrey Tsiganov

37. 
    New bi-Hamiltonian systems on the plane

    Article • Journal of Mathematical Physics, June 2017, American Institute of Physics

    Andrey Tsiganov

38. 
    Bäcklund transformations for the nonholonomic Veselova system

    Article • Regular and Chaotic Dynamics, March 2017, Pleiades Publishing Ltd

    Andrey Tsiganov

39. 
    On an integrable system on a plane with an integral of motion of sixth order in momenta

    Article • Nelineinaya Dinamika, January 2017, Izhevsk Institute of Computer Science

    Andrey Tsiganov

40. 
    Integrability of Nonholonomic Heisenberg Type Systems

    Article • Symmetry Integrability and Geometry Methods and Applications, November 2016, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Andrey Tsiganov

41. 
    Abel’s theorem and Bäcklund transformations for the Hamilton-Jacobi equations

    Article • Proceedings of the Steklov Institute of Mathematics, November 2016, Pleiades Publishing Ltd

    Andrey Tsiganov

42. 
    On a family of Bäcklund transformations

    Article • Doklady Mathematics, May 2016, Pleiades Publishing Ltd

    Andrey Tsiganov

43. 
    Two integrable systems with integrals of motion of degree four

    Article • Theoretical and Mathematical Physics, March 2016, Pleiades Publishing Ltd

    Andrey Tsiganov

44. 
    On an integrable system on the plane with velocity-dependent potential

    Article • Nelineinaya Dinamika, January 2016, Izhevsk Institute of Computer Science

    Andrey Tsiganov

45. 
    On auto and hetero Bäcklund transformations for the Hénon–Heiles systems

    Article • Physics Letters A, December 2015, Elsevier

    Andrey Tsiganov

46. 
    On Integrable Perturbations of Some Nonholonomic Systems

    Article • Symmetry Integrability and Geometry Methods and Applications, October 2015, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Andrey Tsiganov

47. 
    Killing tensors with nonvanishing Haantjes torsion and integrable systems

    Article • Regular and Chaotic Dynamics, July 2015, Pleiades Publishing Ltd

    Andrey Tsiganov

48. 
    Bäcklund transformations relating different Hamilton-Jacobi equations

    Article • Theoretical and Mathematical Physics, June 2015, Springer Science + Business Media

    Andrey Tsiganov

49. 
    On the Chaplygin system on the sphere with velocity dependent potential

    Article • Journal of Geometry and Physics, June 2015, Elsevier

    Andrey Tsiganov

50. 
    On bi-Hamiltonian formulation of the perturbed Kepler problem

    Article • Journal of Physics A Mathematical and Theoretical, April 2015, Institute of Physics Publishing

    Andrey Tsiganov

51. 
    О преобразованиях Беклунда, связывающих различные уравнения Гамильтона - Якоби

    Article • Теоретическая и математическая физика, January 2015, Steklov Mathematical Institute

    Andrey Tsiganov

52. 
    Simultaneous separation for the Neumann and Chaplygin systems

    Article • Regular and Chaotic Dynamics, January 2015, Pleiades Publishing Ltd

    Andrey Tsiganov

53. 
    Poisson structures for two nonholonomic systems with partially reduced symmetries

    Article • Journal of Geometric Mechanics, September 2014, American Institute of Mathematical Sciences (AIMS)

    Andrey Tsiganov

54. 
    Non-holonomic dynamics and Poisson geometry

    Article • Russian Mathematical Surveys, June 2014, Institute of Physics Publishing

    Andrey Tsiganov

55. 
    On the Lie integrability theorem for the Chaplygin ball

    Article • Regular and Chaotic Dynamics, March 2014, Pleiades Publishing Ltd

    Andrey Tsiganov

56. 
    On the nonlinear Poisson bracket arising in nonholonomic mechanics

    Article • Mathematical Notes, March 2014, Pleiades Publishing Ltd

    Andrey Tsiganov

57. 
    Separation of variables for some systems with a fourth-order integral of motion

    Article • Theoretical and Mathematical Physics, December 2013, Springer Science + Business Media

    Andrey Tsiganov

58. 
    On the chaplygin problem of the rolling of a ball

    Article • Mathematical Notes, September 2013, Pleiades Publishing Ltd

    Andrey Tsiganov

59. 
    ON GENERALIZED NONHOLONOMIC CHAPLYGIN SPHERE PROBLEM

    Article • International Journal of Geometric Methods in Modern Physics, April 2013, World Scientific Pub Co Pte Lt

    Andrey Tsiganov

60. 
    On a Trivial Family of Noncommutative Integrable Systems

    Article • Symmetry Integrability and Geometry Methods and Applications, February 2013, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Andrey Tsiganov

61. 
    On the Routh sphere problem

    Article • Journal of Physics A Mathematical and Theoretical, February 2013, Institute of Physics Publishing

    Andrey Tsiganov

62. 
    One family of conformally Hamiltonian systems

    Article • Theoretical and Mathematical Physics, November 2012, Springer Science + Business Media

    Andrey Tsiganov

63. 
    On the Poisson structures for the nonholonomic Chaplygin and Veselova problems

    Article • Regular and Chaotic Dynamics, September 2012, Pleiades Publishing Ltd

    Andrey Tsiganov

64. 
    Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

    Article • Symmetry Integrability and Geometry Methods and Applications, May 2012, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Andrey Tsiganov

65. 
    On One Integrable System With a Cubic First Integral

    Article • Letters in Mathematical Physics, April 2012, Springer Science + Business Media

    Andrey Tsiganov

66. 
    New Variables of Separation for the Steklov-Lyapunov System

    Article • Symmetry Integrability and Geometry Methods and Applications, March 2012, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Andrey Tsiganov

67. 
    One invariant measure and different poisson brackets for two non-holonomic systems

    Article • Regular and Chaotic Dynamics, February 2012, Pleiades Publishing Ltd

    Andrey Tsiganov

68. 
    Об одном семействе конформно-гамильтоновых систем

    Article • Теоретическая и математическая физика, January 2012, Steklov Mathematical Institute

    Andrey Tsiganov

69. 
    Integrable Euler top and nonholonomic Chaplygin ball

    Article • Journal of Geometric Mechanics, November 2011, American Institute of Mathematical Sciences (AIMS)

    Andrey Tsiganov

70. 
    On algebraic construction of certain integrable and super-integrable systems

    Article • Physica D Nonlinear Phenomena, September 2011, Elsevier

    Andrey Tsiganov

71. 
    Integrable systems on the sphere associated with genus three algebraic curves

    Article • Regular and Chaotic Dynamics, June 2011, Pleiades Publishing Ltd

    Andrey Tsiganov

72. 
    Separation of variables for the generalized Henon–Heiles system and system with quartic potential

    Article • Journal of Physics A Mathematical and Theoretical, May 2011, Institute of Physics Publishing

    Andrey Tsiganov

73. 
    On natural Poisson bivectors on the sphere

    Article • Journal of Physics A Mathematical and Theoretical, February 2011, Institute of Physics Publishing

    Andrey Tsiganov

74. 
    ON BI-INTEGRABLE NATURAL HAMILTONIAN SYSTEMS ON RIEMANNIAN MANIFOLDS

    Article • Journal of Nonlinear Mathematical Physics, January 2011, Taylor & Francis

    Andrey Tsiganov

75. 
    New variables of separation for particular case of the Kowalevski top

    Article • Regular and Chaotic Dynamics, December 2010, Pleiades Publishing Ltd

    Andrey Tsiganov

76. 
    On the generalized Chaplygin system

    Article • Journal of Mathematical Sciences, July 2010, Springer Science + Business Media

    Andrey Tsiganov

77. 
    On the superintegrable Richelot systems

    Article • Journal of Physics A Mathematical and Theoretical, January 2010, Institute of Physics Publishing

    Andrey Tsiganov

78. 
    10.1007/s11819-008-1005-1

    Article • January 2010, CrossRef Test Account

    Andrey Tsiganov

79. 
    Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion

    Article • Regular and Chaotic Dynamics, August 2009, Pleiades Publishing Ltd

    Andrey Tsiganov

80. 
    Leonard Euler: Addition theorems and superintegrable systems

    Article • Regular and Chaotic Dynamics, June 2009, Pleiades Publishing Ltd

    Andrey Tsiganov

81. 
    On the bi-Hamiltonian structure of the Goryachev system on the sphere

    Article • Doklady Mathematics, June 2009, Pleiades Publishing Ltd

    Andrey Tsiganov

82. 
    On bi-Hamiltonian geometry of some integrable systems on the sphere with cubic integral of motion

    Article • Journal of Physics A Mathematical and Theoretical, February 2009, Institute of Physics Publishing

    Andrey Tsiganov

83. 
    On Euler superintegrable systems

    Article • Journal of Physics A Mathematical and Theoretical, January 2009, Institute of Physics Publishing

    Andrey Tsiganov

84. 
    New lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure

    Article • Regular and Chaotic Dynamics, December 2008, Pleiades Publishing Ltd

    Andrey Tsiganov

85. 
    Addition theorems and superintegrable systems

    Article • Doklady Mathematics, October 2008, Pleiades Publishing Ltd

    Andrey Tsiganov

86. 
    Addition theorems and the Drach superintegrable systems

    Article • Journal of Physics A Mathematical and Theoretical, July 2008, Institute of Physics Publishing

    Andrey Tsiganov

87. 
    On bi-Hamiltonian geometry of the Lagrange top

    Article • Journal of Physics A Mathematical and Theoretical, July 2008, Institute of Physics Publishing

    Andrey Tsiganov

88. 
    On maximally superintegrable systems

    Article • Regular and Chaotic Dynamics, June 2008, Pleiades Publishing Ltd

    Andrey Tsiganov

89. 
    The Poisson bracket compatible with the classical reflection equation algebra

    Article • Regular and Chaotic Dynamics, June 2008, Pleiades Publishing Ltd

    Andrey Tsiganov

90. 
    On bi-hamiltonian structure of some integrable systems on so* (4)

    Article • Journal of Nonlinear Mathematical Physics, January 2008, Taylor & Francis

    Andrey Tsiganov

91. 
    Separation of variables for a pair of integrable systems on so*(4)

    Article • Doklady Mathematics, December 2007, Pleiades Publishing Ltd

    Andrey Tsiganov

92. 
    Darboux-Nijenhuis variables for open generalized Toda chains

    Article • Theoretical and Mathematical Physics, September 2007, Springer Science + Business Media

    Andrey Tsiganov

93. 
    On two different bi-Hamiltonian structures for the Toda lattice

    Article • Journal of Physics A Mathematical and Theoretical, May 2007, Institute of Physics Publishing

    Andrey Tsiganov

94. 
    Classification of compatible Lie-Poisson brackets on the manifold e*(3)

    Article • Journal of Mathematical Sciences, May 2007, Springer Science + Business Media

    Andrey Tsiganov

95. 
    A family of the Poisson brackets compatible with the Sklyanin bracket

    Article • Journal of Physics A Mathematical and Theoretical, April 2007, Institute of Physics Publishing

    Andrey Tsiganov

96. 
    Compatible Lie-Poisson brackets on the Lie algebras e(3) and so(4)

    Article • Theoretical and Mathematical Physics, April 2007, Springer Science + Business Media

    Andrey Tsiganov

97. 
    On classical r matrix for the Kowalevski gyrostat on so(4)

    Article • Physics of Atomic Nuclei, March 2007, Pleiades Publishing Ltd

    Andrey Tsiganov

98. 
    On the Darboux-Nijenhuis Variables for the Open Toda Lattice

    Article • Symmetry Integrability and Geometry Methods and Applications, December 2006, SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

    Andrey Tsiganov

99. 
    Bi-Hamiltonian systems of natural form

    Article • Theoretical and Mathematical Physics, November 2006, Springer Science + Business Media

    Andrey Tsiganov

100. 
     A note on elliptic coordinates on the Lie algebrae(3)

     Article • Journal of Physics A General Physics, September 2006, Institute of Physics Publishing

     Andrey Tsiganov

101. 
     Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4)

     Article • Journal of Mathematical Sciences, July 2006, Springer Science + Business Media

     Andrey Tsiganov

102. 
     Article • Regular and Chaotic Dynamics, January 2006, Institute of Physics Publishing

     Andrey Tsiganov

103. 
     A new integrable system onS2with the second integral quartic in the momenta

     Article • Journal of Physics A General Physics, April 2005, Institute of Physics Publishing

     Andrey Tsiganov

104. 
     On a family of integrable systems on S2 with a cubic integral of motion

     Article • Journal of Physics A General Physics, January 2005, Institute of Physics Publishing

     Andrey Tsiganov

105. 
     A Family of Integrable Systems on a Sphere

     Article • Journal of Mathematical Sciences, January 2005, Springer Science + Business Media

     Andrey Tsiganov

106. 
     Article • Regular and Chaotic Dynamics, January 2005, Institute of Physics Publishing

     Andrey Tsiganov

107. 
     Toda Chains in the Jacobi Method

     Article • Theoretical and Mathematical Physics, May 2004, Springer Science + Business Media

     Andrey Tsiganov

108. 
     Integrable systems onso(4) related toXXXspin chains with boundaries

     Article • Journal of Physics A General Physics, April 2004, Institute of Physics Publishing

     Andrey Tsiganov

109. 
     Article • Regular and Chaotic Dynamics, January 2004, Institute of Physics Publishing

     Andrey Tsiganov

110. 
     Article • Regular and Chaotic Dynamics, January 2004, Institute of Physics Publishing

     Andrey Tsiganov

111. 
     Poisson maps and integrable deformations of the Kowalevski top

     Article • Journal of Physics A General Physics, July 2003, Institute of Physics Publishing

     Andrey Tsiganov

112. 
     Article • Regular and Chaotic Dynamics, January 2003, Institute of Physics Publishing

     Andrey Tsiganov

113. 
     Article • Theoretical and Mathematical Physics, January 2003, Springer Science + Business Media

     Andrey Tsiganov

114. 
     Separation of variables for integrable systems on Poisson manifolds

     Article • Physics of Atomic Nuclei, June 2002, Pleiades Publishing Ltd

     Andrey Tsiganov

115. 
     Article • Regular and Chaotic Dynamics, January 2002, Institute of Physics Publishing

     Andrey Tsiganov

116. 
     Article • Regular and Chaotic Dynamics, January 2001, Institute of Physics Publishing

     Andrey Tsiganov

117. 
     Article • Journal of Mathematical Sciences, January 2001, Springer Science + Business Media

     Andrey Tsiganov

118. 
     Article • Theoretical and Mathematical Physics, January 2001, Springer Science + Business Media

     Andrey Tsiganov

119. 
     The Maupertuis Principle and Canonical Transformations of the Extended Phase Space

     Article • Journal of Nonlinear Mathematical Physics, January 2001, Taylor & Francis

     Andrey Tsiganov

120. 
     Degenerate integrable systems on the plane with a cubic integral of motion

     Article • Theoretical and Mathematical Physics, September 2000, Springer Science + Business Media

     Andrey Tsiganov

121. 
     An integrable system related to the spherical top and the Toda chain

     Article • Theoretical and Mathematical Physics, August 2000, Springer Science + Business Media

     Andrey Tsiganov

122. 
     Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system

     Article • Journal of Physics A General Physics, June 2000, Institute of Physics Publishing

     Andrey Tsiganov

123. 
     Article • Regular and Chaotic Dynamics, January 2000, Institute of Physics Publishing

     Andrey Tsiganov

124. 
     On integrable deformations of the spherical top

     Article • Journal of Physics A General Physics, November 1999, Institute of Physics Publishing

     Andrey Tsiganov

125. 
     Automorphisms of sl(2) and classical integrable systems

     Article • Physics Letters A, February 1999, Elsevier

     Andrey Tsiganov

126. 
     Dynamical boundary conditions for integrable lattices

     Article • Journal of Physics A General Physics, October 1998, Institute of Physics Publishing

     Andrey Tsiganov

127. 
     Automorphisms of sl(2) and dynamical r-matrices

     Article • Journal of Mathematical Physics, January 1998, American Institute of Physics

     Andrey Tsiganov

128. 
     The classicalr-matrix method and superintegrable systems

     Article • Theoretical and Mathematical Physics, September 1997, Springer Science + Business Media

     Andrey Tsiganov

129. 
     Quantum relativistic Toda chains

     Article • Journal of Mathematical Sciences, June 1996, Springer Science + Business Media

     Andrey Tsiganov

130. 
     Linear r-matrix algebra for classical separable systems

     Article • Journal of Physics A General Physics, January 1994, Institute of Physics Publishing

     Professor John Chris Eilbeck, Andrey Tsiganov

131. 
     Infinite series of Lie algebras and boundary conditions for integrable systems

     Article • Journal of Soviet Mathematics, May 1992, Springer Science + Business Media

     Andrey Tsiganov